In this paper, it is shown that the graph \(T_{4}(p, q, r)\) is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to adjacency spectrum.
Citation
Xiaoxia Fan, Xing Gao, Yanfeng Luo. Spectral Characterization of a Specific Class of Trees[J], Ars Combinatoria, Volume 102. 147-159. .